Nonintegrability of \((2+1)\)-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis

DOI10.1016/J.PHYSLETA.2006.03.074zbMath1160.81394arXivnlin/0604017OpenAlexW1969510928MaRDI QIDQ1017307

C. Senthil Kumar, Muthusamy Lakshmanan, Alfred Ramani, Basile Grammaticos

Publication date: 18 May 2009

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0604017

zbMATH Keywords

Painlevé propertyintegrability

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Cites Work

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• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
• Equivalent Forms of a Generalized Hirota's Equation with Linear Inhomogeneities
• On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
• On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations
• Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions
• Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: Nonintegrability and chaos

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